Functions Question 635
Question: Range of the function $ f(x)=\frac{x^{2}+x+2}{x^{2}+x+1};\ x\in R $ is
[IIT Screening 2003]
Options:
A) $ (1,\ \infty ) $
B) $ (1,\ 11/7] $
C) $ (1,\ 7/3] $
D) $ (1,\ 7/5] $
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Answer:
Correct Answer: C
Solution:
$ f(x)=1+\frac{1}{{{( x+\frac{1}{2} )}^{2}}+\frac{3}{4}} $
Þ Range $ =(1,,7/3] $ .